164404320364045 has 8 divisors (see below), whose sum is σ = 197285261122296. Its totient is φ = 131523405167616.

The previous prime is 164404320364027. The next prime is 164404320364049. The reversal of 164404320364045 is 540463023404461.

It can be written as a sum of positive squares in 4 ways, for example, as 93167648170921 + 71236672193124 = 9652339^2 + 8440182^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 164404320364045 - 2⁷ = 164404320363917 is a prime.

It is a super-3 number, since 3×164404320364045³ (a number of 44 digits) contains 333 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 164404320363986 and 164404320364004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164404320364049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13242529 + ... + 22453801.

It is an arithmetic number, because the mean of its divisors is an integer number (24660657640287).

Almost surely, 2^{164404320364045} is an apocalyptic number.

It is an amenable number.

164404320364045 is a deficient number, since it is larger than the sum of its proper divisors (32880940758251).

164404320364045 is an equidigital number, since it uses as much as digits as its factorization.

164404320364045 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12780911.

The product of its (nonzero) digits is 3317760, while the sum is 46.

The spelling of 164404320364045 in words is "one hundred sixty-four trillion, four hundred four billion, three hundred twenty million, three hundred sixty-four thousand, forty-five".